1320815457000 has 2048 divisors, whose sum is σ = 5535129600000. Its totient is φ = 288222105600.

The previous prime is 1320815456993. The next prime is 1320815457001. The reversal of 1320815457000 is 7545180231.

1320815457000 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 81 + 5 + 4 + 570 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1320815457001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12117572946 + ... + 12117573054.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700000).

Almost surely, 2^{1320815457000} is an apocalyptic number.

1320815457000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320815457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767564800000).

1320815457000 is an abundant number, since it is smaller than the sum of its proper divisors (4214314143000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320815457000 is a wasteful number, since it uses less digits than its factorization.

1320815457000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1320815457000 in words is "one trillion, three hundred twenty billion, eight hundred fifteen million, four hundred fifty-seven thousand".